ieee 754 wikipedia - EAS

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    https://en.wikipedia.org/wiki/IEEE_754

    The IEEE Standard for Floating-Point Arithmetic (IEEE 754) is a technical standard for floating-point arithmetic established in 1985 by the Institute of Electrical and Electronics Engineers (IEEE). The standard addressed many problems found in the diverse floating-point implementations that made … See more

    The first standard for floating-point arithmetic, IEEE 754-1985, was published in 1985. It covered only binary floating-point arithmetic.
    A new version, IEEE 754-2008, was published in August … See more

    An IEEE 754 format is a "set of representations of numerical values and symbols". A format may also include how the set is encoded. See more

    Required operations for a supported arithmetic format (including the basic formats) include:
    • Conversions … See more

    Alternate exception handling
    The standard recommends optional exception handling in various forms, including presubstitution of user-defined default values, and … See more

    Formats image

    The standard defines five rounding rules. The first two rules round to a nearest value; the others are called directed roundings:
    Roundings to nearest See more

    The standard defines five exceptions, each of which returns a default value and has a corresponding status flag that is raised when the exception … See more

    The standard requires operations to convert between basic formats and external character sequence formats. Conversions to and … See more

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  2. https://en.wikipedia.org/wiki/IEEE_754-1985

    IEEE 754-1985 was an industry standard for representing floating-point numbers in computers, officially adopted in 1985 and superseded in 2008 by IEEE 754-2008, and then again in 2019 by minor revision IEEE 754-2019. During its 23 years, it was the most widely used format for floating-point computation. It was implemented in software, in the form of floating-point libraries, and in hardware, in the instructions of many CPUs and FPUs. The first integrated circuit to implement the d…

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      What does IEEE 754 stand for?IEEE 754. The IEEE Standard for Floating-Point Arithmetic ( IEEE 754) is a technical standard for floating-point arithmetic established in 1985 by the Institute of Electrical and Electronics Engineers (IEEE). The standard addressed many problems found in the diverse floating-point implementations that made them difficult...
      en.wikipedia.org/wiki/IEEE_754
      What is the IEEE 754-1985 floating-point number?The number 0.15625 represented as a single-precision IEEE 754-1985 floating-point number. See text for explanation. Floating-point numbers in IEEE 754 format consist of three fields: a sign bit, a biased exponent, and a fraction.
      en.wikipedia.org/wiki/IEEE_754-1985
      What is a biased exponent in IEEE 754?IEEE 754 adds a bias to the exponent so that numbers can in many cases be compared conveniently by the same hardware that compares signed 2's-complement integers. Using a biased exponent, the lesser of two positive floating-point numbers will come out "less than" the greater following the same ordering as for sign and magnitude integers.
      en.wikipedia.org/wiki/IEEE_754-1985
      Is IEEE 754-2019 the same as ISO 60559?The international standard ISO/IEC 60559:2020 (with content identical to IEEE 754-2019) has been approved for adoption through JTC1 /SC 25 and published. An IEEE 754 format is a "set of representations of numerical values and symbols". A format may also include how the set is encoded. A floating-point format is specified by:
      en.wikipedia.org/wiki/IEEE_754
    • https://de.wikipedia.org/wiki/IEEE_754
      • In der Norm IEEE 754-1989 werden zwei Grunddatenformate für binäre Gleitkommazahlen mit 32 Bit (single precision) bzw. 64 Bit (double precision) Speicherbedarf und zwei erweiterte Formate definiert. Die IEEE 754-2008 umfasst die binären Zahlenformate mit 16 Bit als Minifloat, 32 Bit als single, 64 Bit als doubleund neu 128 Bit. Zusätzlich kamen noc...
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      • https://es.wikipedia.org/wiki/IEEE_754
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        La versión actual del estándar, denominada IEEE 754-2008, publicada en agosto de 2008, se deriva de la versión anterior (IEEE 754-1985) a la cual seguida por un proceso de revisión de siete años, presidido por Dan Zuras y editado por el profesor de ciencias de la computación Mike Cowlishaw. El estánd…
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        • https://en.wikipedia.org/wiki/IEEE_754-2008_revision
          • IEEE 754-2008 was published in August 2008 and is a significant revision to, and replaces, the IEEE 754-1985 floating-point standard, while in 2019 it was updated with a minor revision IEEE 754-2019. The 2008 revision extended the previous standard where it was necessary, added decimal arithmetic and formats, tightened up certain areas of the origi...
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          • https://zh.wikipedia.org/wiki/IEEE_754

            IEEE 754規定了四種表示浮點數值的方式:單精確度(32位元)、雙精確度(64位元)、延伸單精確度(43位元以上,很少使用)與延伸雙精確度(79位元以上,通常以80位元實做)。. 只 …

          • https://nl.wikipedia.org/wiki/IEEE_754

            IEEE 754. IEEE 754 is een standaard van de IEEE die een manier beschrijft om getallen met zwevende komma voor te stellen in het geheugen van een binaire rekenmachine (computer). …

          • https://it.wikipedia.org/wiki/IEEE_754

            Lo standard IEEE per il calcolo in virgola mobile ( IEEE 754) (ufficialmente: IEEE Standard for Binary Floating-Point Arithmetic (ANSI/IEEE Std 754-1985) o anche IEC 60559:1989, Binary …

          • https://ja.wikipedia.org/wiki/IEEE_754

            IEEE 754標準では、5種類の基本形式を定めており、基数や符号化して使用するビット数に応じて名前が付けられている。 その内訳は、32/64/128ビットで表現する3種類の二進浮動小数点 …

          • https://en.wikipedia.org/wiki/Single-precision_floating-point_format

            IEEE 754 standard: binary32. The IEEE 754 standard specifies a binary32 as having: Sign bit: 1 bit; Exponent width: 8 bits; Significand precision: 24 bits (23 explicitly stored) This gives from 6 …

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